Abstract
This paper applies the Thomas decomposition technique to nonlinear control systems, in particular to the study of the dependence of the system behavior on parameters. Thomas' algorithm is a symbolic method which splits a given system of nonlinear partial differential equations into a finite family of so-called simple systems which are formally integrable and define a partition of the solution set of the original differential system. Different simple systems of a Thomas decomposition describe different structural behavior of the control system in general. The paper gives an introduction to the Thomas decomposition method and shows how notions such as invertibility, observability and flat outputs can be studied. A Maple implementation of Thomas' algorithm is used to illustrate the techniques on explicit examples.
Publication Date
2020-01-23
Publisher
ArXiv
Embargo Period
2024-11-22
Additional Links
http://arxiv.org/abs/2001.08424v1
Keywords
math.OC, math.OC, math.AC, math.DS
Recommended Citation
Lange-Hegermann, M., & Robertz, D. (2020) 'Thomas Decomposition and Nonlinear Control Systems', ArXiv: Retrieved from https://pearl.plymouth.ac.uk/secam-research/1787
